Circle And System Of Circles Question 342
Question: The equation of circle which touches the axes of coordinates and the line $ \frac{x}{3}+\frac{y}{4}=1 $ and whose centre lies in the first quadrant is $ x^{2}+y^{2}-2cx-2cy+c^{2}=0 $ , where c is
[BIT Ranchi 1986; Kurukshetra CEE 1996]
Options:
A) 1
B) 2
C) 3
D) 6
Show Answer
Answer:
Correct Answer: D
Solution:
Its centre is of type (c, c) and radius is $ | \frac{4c+3c-12}{5} |\ =\sqrt{c^{2}}\Rightarrow c=6 $ .
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